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Finding the Fourth Proportional to 380,358.24, 570,656.72 and 228,729.84

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Solution

The fourth proportional to 380,358.24, 570,656.72 and 228,729.84 is: 343,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,358.24 : 570,656.72 = 228,729.84 : x
  2. Step 2: Convert to fraction form
    380,358.24/570,656.72 = 228,729.84/x
  3. Step 3: Cross multiply
    380,358.24x = 570,656.72 × 228,729.84
  4. Step 4: Simplify right side
    380,358.24x = 130,526,220,260.53
  5. Step 5: Solve for x
    x = 130,526,220,260.53/380,358.24
  6. Step 6: Final answer
    x = 343,166.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.